Interview concept

What is dynamic programming?

Dynamic programming solves a problem by combining solutions to overlapping subproblems, storing each result once so it is never recomputed. It applies when a problem has optimal substructure and overlapping subproblems.

Summary

Key takeaways

Dynamic programming - Interview Concepts - ExtraBrain is part of ExtraBrain's local-first Mac workflow for live interviews, meetings, transcription, provider control, and responsible AI use.

Page focus

Dynamic programming solves a problem by combining solutions to overlapping subproblems, storing each result once so it is never recomputed. It applies when a problem has optimal substructure and overlapping subproblems.

Platform fact

ExtraBrain has 1 current public platform family, macOS, with support for 2 Mac CPU families: Apple Silicon and Intel.

Data-flow fact

ExtraBrain has 3 configurable data paths to review before sensitive work: local Parakeet transcription, local Gemma 4 where installed and compatible, and external providers you choose.

Interview concept

How it works

Memoization vs tabulation

Top-down memoization caches recursive results; bottom-up tabulation fills a table iteratively.

Define the state

Identify what parameters uniquely describe a subproblem and write the recurrence relating states.

Common patterns

Knapsack, longest common subsequence, edit distance, and grid path problems are frequent DP templates.

Interview concept

Responsible use

Use any live AI assistant only where interview, workplace, school, and platform rules allow it. Do not use generated answers to misrepresent your skills, experience, or authorship.

FAQ

Common questions.

Short answers for people and crawlers comparing ExtraBrain with other live AI assistants.

When should I use dynamic programming?

Use it when a problem has optimal substructure and overlapping subproblems, so cached results avoid exponential recomputation.

How do I find the DP state?

Ask what minimal set of parameters describes a subproblem, then write a recurrence that builds larger states from smaller ones.